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Simplifying -11 + 10(y + 10) = 4 + -5(2y + 11) Reorder the terms: -11 + 10(10 + y) = 4 + -5(2y + 11) -11 + (10 * 10 + y * 10) = 4 + -5(2y + 11) -11 + (100 + 10y) = 4 + -5(2y + 11) Combine like terms: -11 + 100 = 89 89 + 10y = 4 + -5(2y + 11) Reorder the terms: 89 + 10y = 4 + -5(11 + 2y) 89 + 10y = 4 + (11 * -5 + 2y * -5) 89 + 10y = 4 + (-55 + -10y) Combine like terms: 4 + -55 = -51 89 + 10y = -51 + -10y Solving 89 + 10y = -51 + -10y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '10y' to each side of the equation. 89 + 10y + 10y = -51 + -10y + 10y Combine like terms: 10y + 10y = 20y 89 + 20y = -51 + -10y + 10y Combine like terms: -10y + 10y = 0 89 + 20y = -51 + 0 89 + 20y = -51 Add '-89' to each side of the equation. 89 + -89 + 20y = -51 + -89 Combine like terms: 89 + -89 = 0 0 + 20y = -51 + -89 20y = -51 + -89 Combine like terms: -51 + -89 = -140 20y = -140 Divide each side by '20'. y = -7 Simplifying y = -7
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